AnswersOK-Algebra II AMultiplication of Polynomials

Introduction to Proof Answers

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4 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another line extends halfway between the other 2 lines to point B. Lines A E and E C form a right angle.

Question illustration
A
∠BEA ≅ ∠CEA
B
∠CEB ≅ ∠CEA
C
m∠CEB = 45°
D
m∠CEA = 45°
2
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A horizontal line has points D, B, C. A line extends vertically from point B to point A.

Question illustration
A
m∠ABD = m∠ABC
B
AB ≅ BC
C
B is the midpoint of DC.
D
m∠DBC = 90°
3

Segment AB is congruent to segment AB.

A
reflexive
B
symmetric
C
transitive
D
substitution
4

A two-column proof

A
uses a visual representation of the logical flow of steps needed to reach a conclusion.
B
contains a table with a logical series of statements and reasons that reach a conclusion.
C
contains a set of sentences explaining the steps needed to reach a conclusion.
D
uses inductive reasoning to prove a statement.
5

4 lines extend from point B. A line extends straight up from B to point A. Another line extends up and to the right to point C. Another line extends slight up and to the right to point D. The other line extends slightly down and to the right to point E.

Question illustration
A
∠ABC ≅ ∠ABD
B
∠ABD ≅ ∠CBE
C
∠CBD ≅ ∠DBE
D
∠CBD ≅ ∠ABC
6

Which are correct statements regarding proofs? Select three options.In a paragraph proof, statements and their justifications are written in sentences in a logical order. A two-column proof consists of a list statements and the reasons the statements are true. A flowchart proof gives a visual representation of the sequence of steps without justifications.A flowchart proof is a visual way of describing the statements and reasons for a proof.A two-column proof lists only the given information and what is to be proven.

A
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
B
A two-column proof consists of a list statements and the reasons the statements are true.
C
A flowchart proof gives a visual representation of the sequence of steps without justifications.
D
A flowchart proof is a visual way of describing the statements and reasons for a proof.
E
A two-column proof lists only the given information and what is to be proven.
7

Which statement is true about the diagram?

Question illustration
A
K is the midpoint of AB.
B
B is the midpoint of KT.
C
AK = BT
D
AB = KT
10

A flow chart has 4 boxes. The top box is labeled given and contains angle A is-congruent-to angle B, angle C is congruent to angle B. The second box is labeled symmetric property and contains angle B is-congruent-to angle C. The third box is labeled question mark and contains angle A is congruent to angle C. The fourth box is labeled definition of congruent to angle x and contains m angle A = m angle C.

Question illustration
A
transitive property
B
reflexive property
C
symmetric property
D
substitution property
11

Given that RT ≅ WX, which statement must be true?

A
RT + TW = WX + TW
B
RT = 2(RX)
C
WX = 2(RX)
D
RT + TW = RX
12

If m∠A = m∠B and m∠A + m∠C = m∠D, thenm∠B + m∠C = m∠D.

A
reflexive property
B
substitution property
C
symmetric property
D
transitive property
13

4 lines are shown. One line contains points F, E, A. 3 lines come out of point E. One line goes to point D, another line goes to point B, and another line goes to point C. Angles B E C and B E A are congruent.

Question illustration
A
∠DEF is a right angle.
B
m∠DEA = m∠FEC
C
∠BEA ≅ ∠BEC
D
bisects ∠AEF.
Option D
14

A paragraph proof

A
uses inductive reasoning to prove a statement.
B
contains a table with a logical series of statements and reasons.
C
uses a visual chart of the logical flow of steps needed to reach a conclusion.
D
contains a set of sentences explaining the steps needed to reach a conclusion.
15

Which statement is true about the given information?

Question illustration
A
BD = BC
Option A
B
BC = BE
Option B
C
BD ≅ CE
D
BC ≅ BD
16

The last line of a proof represents

A
the given information.
B
the argument.
C
the conclusion.
D
the assumptions.

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